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Global coefficient ring in the Nilpotence Conjecture
Author(s):
Joseph
Gubeladze
Journal:
Proc. Amer. Math. Soc.
136
(2008),
499-503.
MSC (2000):
Primary 19D50;
Secondary 13B40, 13K05, 20M25
Posted:
November 1, 2007
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Abstract:
In this note we show that the nilpotence conjecture for toric varieties is true over any regular coefficient ring containing .
References:
- [BG]
- W. Bruns and J. Gubeladze, Polytopes, Rings, and
-theory, book in preparation. (Preliminary version: http://math.sfsu.edu/gubeladze/publications/kripo.html) - [G]
- J. Gubeladze, The nilpotence conjecture in
-theory of toric varieties, Invent. Math. 160 (2005), 173-216. MR 2129712 (2006d:145057) - [K]
- W. van der Kallen, Descent for the K-theory of polynomial rings, Math. Z. 191 (1986), 405-415. MR 0824442 (87h:13012)
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- H. Lindel, On the Bass-Quillen conjecture concerning projective modules over polynomial rings, Invent. Math. 65 (1981), 319-323. MR 0641133 (83g:13009)
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Additional Information:
Joseph
Gubeladze
Affiliation:
Department of Mathematics, San Francisco State University, San Francisco, California 94132
Email:
soso@math.sfsu.edu
DOI:
10.1090/S0002-9939-07-09106-X
PII:
S 0002-9939(07)09106-X
Received by editor(s):
January 16, 2007
Received by editor(s) in revised form:
February 5, 2007
Posted:
November 1, 2007
Additional Notes:
The author was supported by NSF grant DMS-0600929
Communicated by:
Martin Lorenz
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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